2001433200 has 360 divisors, whose sum is σ = 7090796160. Its totient is φ = 482227200.

The previous prime is 2001433169. The next prime is 2001433201. The reversal of 2001433200 is 23341002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2001433200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001433201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14398731 + ... + 14398869.

It is an arithmetic number, because the mean of its divisors is an integer number (19696656).

Almost surely, 2^2001433200 is an apocalyptic number.

2001433200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3545398080).

2001433200 is an abundant number, since it is smaller than the sum of its proper divisors (5089362960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2001433200 is a wasteful number, since it uses less digits than its factorization.

2001433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2001433200 is about 44737.3803435114. The cubic root of 2001433200 is about 1260.2219311773.

Adding to 2001433200 its reverse (23341002), we get a palindrome (2024774202).

The spelling of 2001433200 in words is "two billion, one million, four hundred thirty-three thousand, two hundred".